Cohomological orientifold Donaldson–Thomas invariants as Chow groups

• Hans Franzen ^[2] ; Matthew B. Young ^[1]
  1. [1] University of Hong Kong

     University of Hong Kong

     RAE de Hong Kong (China)

     
  2. [2] Mathematisches Institut der Universität Bonn
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 24, Nº. 3, 2018, págs. 2035-2061
• Idioma: inglés
• DOI: 10.1007/s00029-018-0415-1
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• Resumen

  • We establish a geometric interpretation of orientifold Donaldson–Thomas invariants of σ -symmetric quivers with involution. More precisely, we prove that the cohomological orientifold Donaldson–Thomas invariant is isomorphic to the rational Chow group of the moduli space of σ -stable self-dual quiver representations. As an application we prove that the Chow Betti numbers of moduli spaces of stable m-tuples in classical Lie algebras can be computed numerically. We also prove a cohomological wall-crossing formula relating semistable Hall modules for different stabilities.